EC_n(μ,I_n,φ)下的两种具体广义非中心X^2分布

Two Specific Types of Generalized Non-Central X^2-Statistics in EC_n(μ,I_n,φ)

借助于超几何函数,在广义非中心X^2分布级数形式密度函数表达式的基础上列出了两类具体椭球等高分布下的广义非中心X^2分布密度函数的精确表达,并给出了详细的证明过程;同时计算了这两类具体椭球等高分布下的广义非中心X^2分布对应高阶矩的形式,作为推论验证了非中心X^2分布相关的结论.

Based on the hypergeometric functions and series in the form of density function for generalized non-central X2-statistics, this paper gives the exact probability density functions of generalized non-central X2-statistics under two specific types dis- tribution in elliptically contoured distribution, and the proof is given in detail. At the same time, the high-order moments of generalized non-central X2-statistics are obtained and as a corollary to verify the non-central distribution of relevant conclusions.